2003/02/07 by Osamu Fujino, Fujino, Osamu · 1 citation
Computer Science · Mathematics · #14D07 #14E30 #14J40 #14N30 #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14D07 #msc:14E30 #msc:14J40 #msc:14N30
paper · pdf · doi:10.48550/arxiv.math/0302073
38 pages, with Appendix by Morihiko Saito
arxiv created 2003/02/07 · openalex publication_date 2003/02/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we investigate higher direct images of log canonical divisors. After we reformulate Kollár's torsion-free theorem, we treat the relationship between higher direct images of log canonical divisors and the canonical extensions of Hodge filtration of gradedly polarized variations of mixed Hodge structures. As a corollary, we obtain a logarithmic version of Fujita-Kawamata's semi-positivity theorem. By this semi-positivity theorem, we generalize Kawamata's positivity theorem and apply it to the study of a log canonical bundle formula. The final section is an appendix, which is a result of Morihiko Saito.